A man's salary was reduced by 50%, Again the reduced salary was increased by 50%. Find the percentage change in salary. 

Correct option is D

Given:

Initial salary = x

Salary reduced by 50%

Reduced salary increased by 50%

Formula Used:

​$$\text{Percentage Change} = \frac{\text{Final Salary} - \text{Initial Salary}}{\text{Initial Salary}} \times 100$$​​

Solution:

1. Reduction of 50%:

​$$\text{Salary after reduction} = x - 50$$​​

2. Increase of 50% on the reduced salary:

​$$\text{Final salary} = \frac{x}{2} + \frac{x}{4} = \frac{2x + x}{4} = \frac{3x}{4}$$​​

3. Percentage Change:

​$$\text{Change in salary} = \frac{3x}{4} - x = \frac{3x - 4x}{4} = -\frac{x}{4}$$​​

​$$\text{Percentage Change} = \frac{-\frac{x}{4}}{x} \times 100 = -25$$​​

Final Answer:

The salary decreases by 25% .

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